1.

Record Nr.

UNISA996466616303316

Autore

Wright Steve (Steve J.)

Titolo

Uniqueness of the injective III1 factor / / Steve Wright

Pubbl/distr/stampa

Berlin ; ; Heidelberg : , : Springer-Verlag, , 1989

ISBN

3-540-46903-6

Edizione

[1st ed. 1989.]

Descrizione fisica

1 online resource (VI, 114 p.)

Collana

Lecture Notes in Mathematics ; ; Volume 1413

Disciplina

512.55

Soggetti

Von Neumann algebras

Factors (Algebra)

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Bibliographic Level Mode of Issuance: Monograph

Sommario/riassunto

Based on lectures delivered to the Seminar on Operator Algebras at Oakland University during the Winter semesters of 1985 and 1986, these notes are a detailed exposition of recent work of A. Connes and U. Haagerup which together constitute a proof that all injective factors of type III1 which act on a separable Hilbert space are isomorphic. This result disposes of the final open case in the classification of the separably acting injective factors, and is one of the outstanding recent achievements in the theory of operator algebras. The notes will be of considerable interest to specialists in operator algebras, operator theory and workers in allied areas such as quantum statistical mechanics and the theory of group representations.